252987840 has 448 divisors, whose sum is σ = 1053388800. Its totient is φ = 55959552.

The previous prime is 252987827. The next prime is 252987841. The reversal of 252987840 is 48789252.

252987840 is a `hidden beast` number, since 2 + 529 + 87 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252987841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2842516 + ... + 2842604.

Almost surely, 2^252987840 is an apocalyptic number.

252987840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252987840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526694400).

252987840 is an abundant number, since it is smaller than the sum of its proper divisors (800400960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

252987840 is a wasteful number, since it uses less digits than its factorization.

252987840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 252987840 is about 15905.5914696688. The cubic root of 252987840 is about 632.4602213210.

The spelling of 252987840 in words is "two hundred fifty-two million, nine hundred eighty-seven thousand, eight hundred forty".